Question

In the picture down below

Answer 1

Answer: Choice D.
`f^(-1)(x) = (6x+2)/(3)`

Work Shown:

The idea is that you replace f(x) with y, swap x and y, then solve for y to get the inverse.

`f(x) = (3x-2)/(6)\\\\y = (3x-2)/(6)\\\\x = (3y-2)/(6)\\\\6x = 3y-2\\\\3y-2 = 6x\\\\3y = 6x+2\\\\y = (6x+2)/(3)\\\\f^(-1)(x) = (6x+2)/(3)\\\\`